def format_useranswer(self, user_answer, display=False):
if self.num_solutions == 1:
user_answer = user_answer.replace('x', ' ')
user_answer = user_answer.replace('=', ' ')
user_answer = user_answer.replace('^', '**')
user_answer = parse_expr(user_answer,
transformations=transformations)
return latex_print(user_answer, display)
else:
return user_answer
def format_useranswer(user_answer, display=False):
user_answer = user_answer.lower()
user_answer = user_answer.replace('^', '**')
user_answer = parse_expr(user_answer, transformations=transformations)
return latex_print(user_answer, display)
def __init__(self, **kwargs):
if 'seed' in kwargs:
self.seed = kwargs['seed']
else:
self.seed = random.random()
random.seed(self.seed)
if 'num_solutions' in kwargs:
self.num_solutions = kwargs['num_solutions']
else:
self.num_solutions = random.choice([1, 1, 0, oo])
if 'a' in kwargs:
self.a = kwargs['a']
else:
self.a = random_non_zero_integer(-9, 9)
if 'b' in kwargs:
self.b = kwargs['b']
else:
self.b = random.randint(-9, 9)
if 'c' in kwargs:
self.c = kwargs['c']
else:
self.c = random_non_zero_integer(-9, 9)
if 'd' in kwargs:
self.d = kwargs['d']
else:
self.d = random.randint(-9, 9)
if 'e' in kwargs:
self.e = kwargs['e']
else:
if self.num_solutions == 1:
offset = random_non_zero_integer(-9, 9)
else:
offset = 0
self.e = -(self.a + self.c) + offset
if 'f' in kwargs:
self.f = kwargs['f']
else:
if self.num_solutions == 0:
offset = random_non_zero_integer(-9, 9)
elif self.num_solutions == 1:
offset = random.randint(-9, 9)
else:
offset = 0
self.f = -(self.a * self.b + self.c * self.d) + offset
if 'x' in kwargs:
self.x = kwargs['x']
else:
self.x = Symbol('x')
self.problem = self.genproblem()
self.given = self.problem['given']
self.answer = self.problem['answer']
self.given_latex = latex_print(self.given)
self.given_latex_display = latex_print(self.given, display=True)
self.format_given = self.given_latex_display
self.answer_latex = latex_print(self.answer)
self.answer_latex_display = latex_print(self.answer, display=True)
if self.num_solutions == 1:
self.format_answer = self.answer_latex
else:
self.format_answer = self.answer
self.format_given_for_tex = f"""
def __init__(self, **kwargs):
if 'seed' in kwargs:
self.seed = kwargs['seed']
else:
self.seed = random.random()
random.seed(self.seed)
# if 'has_solutions' in kwargs:
# self.has_solutions = kwargs['has_solutions']
# else:
# self.has_solutions = random.choice([True,True,False])
if 'a' in kwargs:
self.a = kwargs['a']
else:
self.a = random_non_zero_integer(-9, 9)
if 'b' in kwargs:
self.b = kwargs['b']
else:
self.b = random.randint(-9, 9)
if 'c' in kwargs:
self.c = kwargs['c']
else:
self.c = random.randint(-9, 9)
# if self.has_solutions:
# while (self.b**2 - 4*self.a*self.c < 0):
# print('doin stuff')
# self.c = random.randint(-9,9)
# else:
# while (self.b**2 - 4*self.a*self.c >= 0):
# print('doin other stuff')
# self.c = random.randint(-9,9)
if (self.b**2 - 4 * self.a * self.c < 0):
self.has_solutions = False
else:
self.has_solutions = True
if 'x' in kwargs:
self.x = kwargs['x']
else:
self.x = sy.Symbol('x')
x = self.x
a = self.a
b = self.b
c = self.c
difficulty = random.choice([0, 0, 0, 1, 1, 2])
# difficulty = 2
aux_a = 0
aux_b = 0
aux_c = int(random.triangular(-9, 9, 0))
if difficulty > 0:
aux_b = random_non_zero_integer(-9, 9)
if difficulty > 1:
aux_a = random_non_zero_integer(-9, 9)
aux = aux_a * x**2 + aux_b * x + aux_c
LHS = sy.expand(a * x**2 + b * x + c + aux)
RHS = aux
self.given = f'{sy.latex(LHS)} = {sy.latex(RHS)}'
if self.has_solutions:
self.answer = {(-b - sy.sqrt(b**2 - 4 * a * c)) / (2 * a),
(-b + sy.sqrt(b**2 - 4 * a * c)) / (2 * a)}
format_answer = ''
for ans in self.answer:
format_answer += sy.latex(ans) + ' ,'
format_answer = format_answer[:-2]
self.format_answer = '\(' + format_answer + '\)'
else:
self.answer = 'No solution'
self.format_answer = self.answer
self.given_latex = latex_print(self.given)
self.given_latex_display = latex_print(self.given, display=True)
self.format_given = self.given_latex_display
self.answer_latex = latex_print(self.answer)
self.answer_latex_display = latex_print(self.answer, display=True)
self.format_given_for_tex = f"""
def __init__(self, **kwargs):
if 'seed' in kwargs:
self.seed = kwargs['seed']
else:
self.seed = random.random()
random.seed(self.seed)
if 'has_solutions' in kwargs:
self.has_solutions = kwargs['has_solutions']
else:
self.has_solutions = random.choice([True,True,False])
if 'a' in kwargs:
self.a = kwargs['a']
else:
self.a = random_non_zero_integer(-3,3)
if 'b' in kwargs:
self.b = kwargs['b']
else:
self.b = random.randint(-9,9)
if 'sqr' in kwargs:
self.sqr = kwargs['sqr']
else:
if self.has_solutions:
p = random.randint(0,9)
q = random.choice([1, 1, 1, 2, 3])
self.sqr = sy.Rational(p,q)
else:
p = random.randint(-9,-1)
q = random.choice([1, 1, 1, 2, 3])
self.sqr = sy.Rational(p,q)
if 'x' in kwargs:
self.x = kwargs['x']
else:
self.x = sy.Symbol('x')
x = self.x
a = self.a
b = self.b
sqr = self.sqr
d = a*self.sqr
self.d = d
difficulty = random.choice([0,0,0,1,1,2])
# difficulty = 2
aux_a = 0
aux_b = 0
aux_c = int(random.triangular(-9,9,0))
if difficulty > 0:
aux_b = random_non_zero_integer(-9,9)
if difficulty > 1:
aux_a = random_non_zero_integer(-9,9)
aux = aux_a*x**2 + aux_b*x + aux_c
LHS = q*sy.expand(a*(x-b)**2) + aux
RHS = q*d + aux
self.given = f'{sy.latex(LHS)} = {sy.latex(RHS)}'
if self.has_solutions:
self.answer = {-sy.sqrt(sqr)+b, sy.sqrt(sqr)+b}
format_answer = ''
for ans in self.answer:
format_answer += sy.latex(ans) + ' ,'
format_answer = format_answer[:-2]
self.format_answer = '\(' + format_answer + '\)'
else:
self.answer = 'No solution'
self.format_answer = self.answer
self.given_latex = latex_print(self.given)
self.given_latex_display = latex_print(self.given, display=True)
self.format_given = self.given_latex_display
self.answer_latex = latex_print(self.answer)
self.answer_latex_display = latex_print(self.answer, display=True)
self.format_given_for_tex = f"""
def __init__(self, **kwargs):
if 'seed' in kwargs:
self.seed = kwargs['seed']
else:
self.seed = random.random()
random.seed(self.seed)
if 'has_solutions' in kwargs:
self.has_solutions = kwargs['has_solutions']
else:
self.has_solutions = random.choice([True, True, False])
if 'a' in kwargs:
self.a = kwargs['a']
else:
self.a = random_non_zero_integer(-9, 9)
if 'b' in kwargs:
self.b = kwargs['b']
else:
self.b = random.randint(-9, 9)
if 'c' in kwargs:
self.c = kwargs['c']
else:
self.c = random_non_zero_integer(-9, 9)
if 'sqr' in kwargs:
self.sqr = kwargs['sqr']
else:
if self.has_solutions:
p = random.randint(0, 9)
q = random.choice([1, 1, 1, 2, 3])
self.sqr = sy.Rational(p, q)
else:
p = random.randint(-9, -1)
q = random.choice([1, 1, 1, 2, 3])
self.sqr = sy.Rational(p, q)
if 'x' in kwargs:
self.x = kwargs['x']
else:
self.x = sy.Symbol('x')
x = self.x
a = self.a
b = self.b
c = self.c
sqr = self.sqr
d = a * self.sqr + c
self.d = d
terms = [q * sy.factor(a * (x - b)**2), q * c, -d * q]
if not self.has_solutions:
LHS, RHS = permute_equation(terms, as_list=True)
self.given = f'{sy.latex(LHS)} = {sy.latex(RHS)}'
else:
self.given = permute_equation(terms)
#print('3rd step: So far its ', expr)
if self.has_solutions:
self.answer = {-sy.sqrt(sqr) + b, sy.sqrt(sqr) + b}
format_answer = ''
for ans in self.answer:
format_answer += sy.latex(ans) + ' ,'
format_answer = format_answer[:-2]
self.format_answer = '\(' + format_answer + '\)'
else:
self.answer = 'No solution'
self.format_answer = self.answer
self.given_latex = latex_print(self.given)
self.given_latex_display = latex_print(self.given, display=True)
self.format_given = self.given_latex_display
self.answer_latex = latex_print(self.answer)
self.answer_latex_display = latex_print(self.answer, display=True)
self.format_given_for_tex = f"""
